← Solving linear equations lesson New set →

Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 110 · 40 questions
TalentJR

How to solve it (Balance): Bring the x terms to one side and the plain numbers to the other (change the sign when you move a term across). Divide both sides by the number in front of x (or multiply if x is divided). Check by putting your answer back into the equation.

NameDateTime takenScore ___ / 40
  1. 1.If 7x − 12 = 2, what is x? (a) 3 (b) 1 (c) 2 (d) 14
  2. 2.If 9x + 22 = 49, what is x? (a) 2 (b) 4 (c) 27 (d) 3
  3. 3.If 7x + 16 = 121, what is x? (a) 16 (b) 14 (c) 105 (d) 15
  4. 4.If 4x + 10 = 38, what is x? (a) 8 (b) 12 (c) 7 (d) 28
  5. 5.If 2x − 4 = 6, what is x? (a) 1 (b) 10 (c) 5 (d) 6
  6. 6.If x/3 + 3 = 8, what is x? (a) 5 (b) 15 (c) 21 (d) 33
  7. 7.If x/6 + 4 = 9, what is x? (a) 30 (b) 5 (c) 50 (d) 78
  8. 8.If 7x + 4 = 67, what is x? (a) 8 (b) 10 (c) 9 (d) 63
  9. 9.If 9x − 18 = 9, what is x? (a) 3 (b) 4 (c) 27 (d) 2
  10. 10.If 2x − 3 = 25, what is x? (a) 11 (b) 28 (c) 14 (d) 15
  11. 11.If 8x + 10 = 7x + 13, what is x? (a) 3 (b) 23 (c) 4 (d) 5
  12. 12.If 7x + 14 = 98, what is x? (a) 12 (b) 84 (c) 16 (d) 13
  13. 13.If 6x − 13 = 65, what is x? (a) 12 (b) 13 (c) 78 (d) 14
  14. 14.If 8x − 25 = 95, what is x? (a) 120 (b) 14 (c) 16 (d) 15
  15. 15.If 5x + 18 = 2x + 42, what is x? (a) 20 (b) 8 (c) 9 (d) 10
  16. 16.If 4x + 20 = 3x + 26, what is x? (a) 6 (b) 8 (c) 46 (d) 7
  17. 17.If 2x − 2 = 14, what is x? (a) 8 (b) 16 (c) 9 (d) 6
  18. 18.If 9x + 12 = 6x + 33, what is x? (a) 15 (b) 9 (c) 8 (d) 7
  19. 19.If 5x + 17 = 3x + 35, what is x? (a) 11 (b) 9 (c) 26 (d) 10
  20. 20.If 8x + 17 = 49, what is x? (a) 32 (b) 4 (c) 5 (d) 3
  21. 21.If 9x + 6 = 33, what is x? (a) 3 (b) 27 (c) 4 (d) 2
  22. 22.If 2x + 27 = 41, what is x? (a) 14 (b) 8 (c) 34 (d) 7
  23. 23.If 6x + 26 = 68, what is x? (a) 7 (b) 42 (c) 8 (d) 6
  24. 24.If 9x − 110 = 25, what is x? (a) 14 (b) 16 (c) 15 (d) 135
  25. 25.If 5x + 8 = 68, what is x? (a) 12 (b) 60 (c) 13 (d) 11
  26. 26.If 5x + 6 = 51, what is x? (a) 9 (b) 8 (c) 10 (d) 45
  27. 27.If x/3 + 2 = 7, what is x? (a) 27 (b) 5 (c) 19 (d) 15
  28. 28.If 7x − 55 = 29, what is x? (a) 11 (b) 84 (c) 12 (d) 13
  29. 29.If 3x + 10 = 2x + 17, what is x? (a) 27 (b) 7 (c) 9 (d) 8
  30. 30.If 7x + 1 = 36, what is x? (a) 6 (b) 5 (c) 35 (d) 4
  31. 31.If 6x + 30 = 48, what is x? (a) 3 (b) 4 (c) 13 (d) 18
  32. 32.If 5x − 19 = 36, what is x? (a) 12 (b) 55 (c) 10 (d) 11
  33. 33.If x/5 + 3 = 14, what is x? (a) 67 (b) 85 (c) 55 (d) 11
  34. 34.If 3x − 29 = 4, what is x? (a) 12 (b) 33 (c) 10 (d) 11
  35. 35.If 9x + 30 = 138, what is x? (a) 11 (b) 108 (c) 13 (d) 12
  36. 36.If 7x + 10 = 24, what is x? (a) 14 (b) 1 (c) 2 (d) 3
  37. 37.If x/5 + 11 = 19, what is x? (a) 84 (b) 150 (c) 40 (d) 8
  38. 38.If 5x − 1 = 24, what is x? (a) 25 (b) 6 (c) 5 (d) 4
  39. 39.If 3x + 2 = 2x + 10, what is x? (a) 12 (b) 9 (c) 8 (d) 10
  40. 40.If 4x − 25 = 3, what is x? (a) 7 (b) 6 (c) 8 (d) 28

Answer key

  1. 2
  2. 3
  3. 15
  4. 7
  5. 5
  6. 15
  7. 30
  8. 9
  9. 3
  10. 14
  11. 3
  12. 12
  13. 13
  14. 15
  15. 8
  16. 6
  17. 8
  18. 7
  19. 9
  20. 4
  21. 3
  22. 7
  23. 7
  24. 15
  25. 12
  26. 9
  27. 15
  28. 12
  29. 7
  30. 5
  31. 3
  32. 11
  33. 55
  34. 11
  35. 12
  36. 2
  37. 40
  38. 5
  39. 8
  40. 7

Free maths olympiad lessons, practice and worksheets at talentjr.in/maths-olympiad